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WKB and MAF quantization rules for spatially confined quantum mechanical systems
Authors:Anjana Sinha  Rajkumar Roychoudhury
Abstract:A formalism is developed to obtain the energy eigenvalues of spatially confined quantum mechanical systems in the framework of the usual Wentzel–Kramers–Brillouin (WKB) and modified airy function (MAF) methods. To illustrate the working rule, the techniques are applied to three different cases, viz. the confined one‐dimensional harmonic and quartic oscillators and a boxed‐in charged particle subject to an external electric field. The energies thus obtained are compared with those from shifted 1/N expansion, variational, and other methods, as well as the available exact numerical results. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 73: 497–504, 1999
Keywords:confined systems  spatial confinement  WKB and MAF methods  quartic oscillator
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